Dell Computers receives large shipments of micro-processors from Intel Corp. It must try to ensure the proportion of microprocessors that are defective is small. Suppose Dell decides to test five microprocessors out of a shipment of thousands of these microprocessors. Suppose that if at least one of the microprocessors is defective, the shipment is returned.
a. If Intel Corp.’s shipment contains 10% defective microprocessors, calculate the probability the entire shipment will be returned.
b. If Intel and Dell agree that Intel will not provide more than 5% defective chips, calculate the probability that the entire shipment will be returned even though only 5% are defective.
c. Calculate the probability that the entire shipment will be kept by Dell even though the shipment has 10% defective microprocessors.